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$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =





Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
45314 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ M_3q_2^2$ 1.8199 1.9661 0.9257 [X:[], M:[1.0135, 0.6757, 0.8919, 0.7703], q:[0.4324, 0.5541], qb:[], phi:[0.3378]] [X:[], M:[[-9], [-6], [-2], [5]], q:[[8], [1]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^2$, $ M_4$, $ q_1^2$, $ M_3$, $ M_1$, $ q_2^2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_4^2$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_4q_1^2$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_1M_2$, $ M_1\phi_1^2$, $ q_1^4$, $ M_3q_1^2$, $ M_3^2$, $ M_1M_4$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ M_4q_2^2$, $ M_1M_3$, $ q_1^2q_2^2$ $\phi_1^3q_1q_2$ 0 2*t^2.03 + t^2.31 + t^2.59 + t^2.68 + t^3.04 + t^3.32 + 4*t^4.05 + 2*t^4.34 + 4*t^4.62 + 2*t^4.7 + t^4.91 + 2*t^4.99 + 2*t^5.07 + t^5.19 + t^5.27 + 5*t^5.35 + t^5.64 + t^5.72 + t^5.92 + 7*t^6.08 + 3*t^6.36 + 8*t^6.65 + 3*t^6.73 + 4*t^6.93 + 3*t^7.01 + 4*t^7.09 + 4*t^7.22 + 5*t^7.3 + 9*t^7.38 + t^7.5 + 2*t^7.58 + 6*t^7.66 + 2*t^7.74 + t^7.78 + t^7.86 + 5*t^7.95 + 3*t^8.03 + 11*t^8.11 + t^8.23 + 6*t^8.39 + t^8.51 - t^8.59 + 12*t^8.68 + 5*t^8.76 + 5*t^8.96 - t^4.01/y - t^5.31/y - t^5.68/y - (3*t^6.04)/y - t^6.32/y - t^6.61/y - t^6.69/y - t^7.34/y + t^7.62/y - (4*t^8.07)/y - t^8.35/y - (3*t^8.64)/y - (2*t^8.72)/y - t^4.01*y - t^5.31*y - t^5.68*y - 3*t^6.04*y - t^6.32*y - t^6.61*y - t^6.69*y - t^7.34*y + t^7.62*y - 4*t^8.07*y - t^8.35*y - 3*t^8.64*y - 2*t^8.72*y (2*t^2.03)/g1^6 + g1^5*t^2.31 + g1^16*t^2.59 + t^2.68/g1^2 + t^3.04/g1^9 + g1^2*t^3.32 + (4*t^4.05)/g1^12 + (2*t^4.34)/g1 + 4*g1^10*t^4.62 + (2*t^4.7)/g1^8 + g1^21*t^4.91 + 2*g1^3*t^4.99 + (2*t^5.07)/g1^15 + g1^32*t^5.19 + g1^14*t^5.27 + (5*t^5.35)/g1^4 + g1^7*t^5.64 + t^5.72/g1^11 + g1^18*t^5.92 + (7*t^6.08)/g1^18 + (3*t^6.36)/g1^7 + 8*g1^4*t^6.65 + (3*t^6.73)/g1^14 + 4*g1^15*t^6.93 + (3*t^7.01)/g1^3 + (4*t^7.09)/g1^21 + 4*g1^26*t^7.22 + 5*g1^8*t^7.3 + (9*t^7.38)/g1^10 + g1^37*t^7.5 + 2*g1^19*t^7.58 + 6*g1*t^7.66 + (2*t^7.74)/g1^17 + g1^48*t^7.78 + g1^30*t^7.86 + 5*g1^12*t^7.95 + (3*t^8.03)/g1^6 + (11*t^8.11)/g1^24 + g1^23*t^8.23 + (6*t^8.39)/g1^13 + g1^34*t^8.51 - g1^16*t^8.59 + (12*t^8.68)/g1^2 + (5*t^8.76)/g1^20 + 5*g1^9*t^8.96 - t^4.01/(g1^3*y) - (g1^5*t^5.31)/y - t^5.68/(g1^2*y) - (3*t^6.04)/(g1^9*y) - (g1^2*t^6.32)/y - (g1^13*t^6.61)/y - t^6.69/(g1^5*y) - t^7.34/(g1*y) + (g1^10*t^7.62)/y - (4*t^8.07)/(g1^15*y) - t^8.35/(g1^4*y) - (3*g1^7*t^8.64)/y - (2*t^8.72)/(g1^11*y) - (t^4.01*y)/g1^3 - g1^5*t^5.31*y - (t^5.68*y)/g1^2 - (3*t^6.04*y)/g1^9 - g1^2*t^6.32*y - g1^13*t^6.61*y - (t^6.69*y)/g1^5 - (t^7.34*y)/g1 + g1^10*t^7.62*y - (4*t^8.07*y)/g1^15 - (t^8.35*y)/g1^4 - 3*g1^7*t^8.64*y - (2*t^8.72*y)/g1^11


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
45473 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ M_3q_2^2$ + $ M_3M_5$ 1.8102 1.9497 0.9285 [X:[], M:[1.0169, 0.678, 0.8927, 0.7684, 1.1073], q:[0.4294, 0.5537], qb:[], phi:[0.339]] 2*t^2.03 + t^2.31 + t^2.58 + t^3.05 + 2*t^3.32 + 4*t^4.07 + 2*t^4.34 + 4*t^4.61 + t^4.88 + t^4.98 + 2*t^5.08 + t^5.15 + 6*t^5.36 + 2*t^5.63 + 2*t^5.9 - t^6. - t^4.02/y - t^5.31/y - t^5.68/y - t^4.02*y - t^5.31*y - t^5.68*y detail {a: 302461/167088, c: 162883/83544, M1: 60/59, M2: 40/59, M3: 158/177, M4: 136/177, M5: 196/177, q1: 76/177, q2: 98/177, phi1: 20/59}


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational


Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id Theory Superpotential Central Charge $a$ Central Charge $c$ Ratio $a/c$ $R$-charges More Info. Rational


Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
45237 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ 1.8443 1.9918 0.926 [X:[], M:[1.0782, 0.7188, 0.8203, 0.8203], q:[0.4609, 0.4609], qb:[], phi:[0.3594]] 2*t^2.16 + 2*t^2.46 + 2*t^2.77 + t^3.23 + 4*t^4.31 + 4*t^4.62 + 10*t^4.92 + 4*t^5.23 + 2*t^5.39 + 3*t^5.53 + 2*t^5.7 - t^6. - t^4.08/y - (2*t^5.46)/y - t^4.08*y - 2*t^5.46*y detail